Suppose that y varies inversely with the square root of x and y=50 when x=4, how do you find y when x=5?

Grilletta1m

Grilletta1m

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2022-08-28

Suppose that y varies inversely with the square root of x and y=50 when x=4, how do you find y when x=5?

Answer & Explanation

betoosolis7i

betoosolis7i

Beginner2022-08-29Added 12 answers

Given ( x , y ) = ( 4 , 50 ) is a solution to this inverse variation
then
50 4 = c
c = 100 xxxxxxxxxx (see note below)
and the inverse variation equation is
y x = 100
When x=5 this becomes
y 5 = 100
5 = 100 y
5 = 10 4 y 2
y = 5000 = 50 2
Note: I have interpreted "y varies inversely with the square root of x" to mean the positive square root of x (i.e. x ) which also implies that y is positive. If this is not the intended case, the negative version of y would also need to be allowed.

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